I have taken to wearing a coyote brown version of your issue boonie as it has a wide-ish brim and soaks up sweat. I find the Akubra and Stetson make me sweat a lot, and are not as comfortable.
And if you want to see ridiculous skin cancer rates then come here as this is the epicentre, only a complete fool wanders about without a hat here.
Or a teenager that hasn't had their first bit of hide cut off.
